Self-Orthogonality and Gorenstein Projectivity

In this paper, we investigate the conjecture that every self-orthogonal Gorenstein projective module is projective. Namely, we give an affirmative answer to this conjecture for a particular case of Gorenstein projective module. Rings over which every module is self-orthogonal is also investigated. Mathematics Subject Classification: Primary 16D80, 16E10; Secondary 16E65